The wikipedia page on Effective Gravitational Potential states that $$U_{eff} \leq E$$ is a condition for a free mass getting trapped in an orbit around a heavier mass. But since $$\frac 1 2 m\dot r^2 ...

We know that when the system reaches steady-state(current does not change with time),the electric filed inside the circuit is constant.
In many textbooks and lectures,professors make a graph like this ...

Consider a wire connected to a battery.
Now,potential is analogous to the energy of the particles.And potential in a resistor drops because of the friction inside the resistor(considering there is no ...

There are numerous ways to estimate the eigenvalues of a radial Schrödinger equation, see http://arxiv.org/abs/math-ph/0703040 as an example. Anyhow, the formulas only cover the Schrödinger equations ...

I have a couple of questions about what kind of potentials can be used in Schrödinger's equation:
How about the potential from a magnetic field? Isn't Dirac's equation more appropriate in that case, ...

I'm currently in 12th grade, and am required to write an essay about physics and biology. The topic of the essay is the artificial brain (with the researches of the Human Brain Project in Switzerland ...

A continuous charge distribution is spherically symmetric and has a volume charge density
$$\rho(r) = \rho_oe^{−\alpha r}$$
I need to find the potential as a function of '$r$' i.e. $V(r)$.
It seems ...

I was reading Griffiths' Introduction to Electrodyamics where he says that in order to have the same current through out a circuit there are two force per unit charges acting on the circuit, $f=f_s+E$ ...

An infinite wire carrying a constant current $I$ in the $\hat{z}$ direction is moving in the $y$ direction at a constant speed $v$. Find the electric field, in the quasistatic approximation, at the ...

As I understand it, the concept of potential energy arises from analytical mechanics. Yet I often see the concept of electric potential $\phi$ introduced without mention of analytical mechanics. For ...

I need your opinions. Why is the vector potential of a magnetic field important (or even necessary) to quantum mechanics? Why it has to be defined everywhere? Is there any fundamental reason you can ...